(d) Define the cost function g(n) = cost of making n sandwiches. Assume the cost to make 800 sandwiches is $2000, and g'(800) = 1.50. Explain in your own words what g' (800) = 1.50 means in practical terms.
(d) Define the cost function g(n) = cost of making n sandwiches. Assume the cost to make 800 sandwiches is $2000, and g'(800) = 1.50. Explain in your own words what g' (800) = 1.50 means in practical terms.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
please help me fast, thank you so much
d
e
f
![Tom and Jerry are opening a food truck named the T & J Box in New York.
(a)
Suppose f(p) is the number of sandwiches they sell at price p. From the short
experience of working a food truck, Tom estimates that if the price of each sandwich is $7 then
they will sell 800 sandwiches and Jerry estimates that f'(7) = –50. Explain in your own
words what f' (7) = -50 means in practical terms.
(b)
Suppose R(p) is the revenue (i.e. total sales in dollars) obtained when selling
sandwiches at price p. What is the revenue when the price is $7 per sandwich? In other words,
find R(7).
(c)
Calculate R' (7) and explain in your own words what it means in practical terms.
(d)
Define the cost function g(n) = cost of making n sandwiches. Assume the cost to
make 800 sandwiches is $2000, and g'(800) = 1.50. Explain in your own words what
g' (800) = 1.50 means in practical terms.
(e)
The number n of sandwiches they sell at price p is given by f(p), thus the cost
function C(p) as a function of the price p is given by
C(p) = g(f(p)). Can you use the chain rule to evaluate C' (7)?
(f)
Tom and Jerry want to increase their profit. Should they increase the price from $7
to $8 per sandwich? Why or why not? Use the profit formula
P = R – C (profit equals revenue minus cost), calculate P' (7), and argue from here.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3088ca9b-d546-4eb7-af28-4ec4fd2c6e74%2F16fe2dcc-40f4-493e-81b9-6c4e6c83eaba%2F02i1c3i_processed.png&w=3840&q=75)
Transcribed Image Text:Tom and Jerry are opening a food truck named the T & J Box in New York.
(a)
Suppose f(p) is the number of sandwiches they sell at price p. From the short
experience of working a food truck, Tom estimates that if the price of each sandwich is $7 then
they will sell 800 sandwiches and Jerry estimates that f'(7) = –50. Explain in your own
words what f' (7) = -50 means in practical terms.
(b)
Suppose R(p) is the revenue (i.e. total sales in dollars) obtained when selling
sandwiches at price p. What is the revenue when the price is $7 per sandwich? In other words,
find R(7).
(c)
Calculate R' (7) and explain in your own words what it means in practical terms.
(d)
Define the cost function g(n) = cost of making n sandwiches. Assume the cost to
make 800 sandwiches is $2000, and g'(800) = 1.50. Explain in your own words what
g' (800) = 1.50 means in practical terms.
(e)
The number n of sandwiches they sell at price p is given by f(p), thus the cost
function C(p) as a function of the price p is given by
C(p) = g(f(p)). Can you use the chain rule to evaluate C' (7)?
(f)
Tom and Jerry want to increase their profit. Should they increase the price from $7
to $8 per sandwich? Why or why not? Use the profit formula
P = R – C (profit equals revenue minus cost), calculate P' (7), and argue from here.
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